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Finding the Third Proportional to 653 and 720

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Solution

The third proportional to 653 and 720 is: 793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 720 = 720 : x
  2. Step 2: Convert to fraction form
    653/720 = 720/x
  3. Step 3: Cross multiply
    653x = 720 × 720
  4. Step 4: Simplify right side
    653x = 518,400
  5. Step 5: Solve for x
    x = 518,400/653
  6. Step 6: Final answer
    x = 793.87

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.